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31020013331013 = 37311033131478017
BaseRepresentation
bin1110000110110011010001…
…11000000010001001000101
311001211111002001201201221010
413003121220320002021011
513031212441403043023
6145550221500512433
76351056563554120
oct703315070021105
9131744061651833
1031020013331013
11997a571920833
12358ba7784b719
131440236a9c495
1479353b7893b7
1538bd7d541093
hex1c3668e02245

31020013331013 has 64 divisors (see below), whose sum is σ = 49424543547392. Its totient is φ = 16933097226240.

The previous prime is 31020013331003. The next prime is 31020013331029. The reversal of 31020013331013 is 31013331002013.

It is not a de Polignac number, because 31020013331013 - 26 = 31020013330949 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31020013331003) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 20248581 + ... + 21726597.

It is an arithmetic number, because the mean of its divisors is an integer number (772258492928).

Almost surely, 231020013331013 is an apocalyptic number.

It is an amenable number.

31020013331013 is a deficient number, since it is larger than the sum of its proper divisors (18404530216379).

31020013331013 is a wasteful number, since it uses less digits than its factorization.

31020013331013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1478474.

The product of its (nonzero) digits is 486, while the sum is 21.

Adding to 31020013331013 its reverse (31013331002013), we get a palindrome (62033344333026).

The spelling of 31020013331013 in words is "thirty-one trillion, twenty billion, thirteen million, three hundred thirty-one thousand, thirteen".

Divisors: 1 3 7 21 31 93 103 217 309 313 651 721 939 2163 2191 3193 6573 9579 9703 22351 29109 32239 67053 67921 96717 203763 225673 677019 999409 1478017 2998227 4434051 6995863 10346119 20987589 31038357 45818527 137455581 152235751 320729689 456707253 462619321 962189067 1065650257 1387857963 3196950771 3238335247 4719308281 9715005741 14157924843 14341198951 33035157967 43023596853 47649790063 99105473901 100388392657 142949370189 301165177971 333548530441 1000645591323 1477143491953 4431430475859 10340004443671 31020013331013