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31331213313 = 31937115112907
BaseRepresentation
bin11101001011011111…
…000110000000000001
32222212112012112201220
4131023133012000001
51003131242311223
622220544345253
72156262630141
oct351337060001
988775175656
1031331213313
1112318720324
1260a4915229
132c5410b39a
141733172921
15c359326e3
hex74b7c6001

31331213313 has 32 divisors (see below), whose sum is σ = 45204848640. Its totient is φ = 19235102400.

The previous prime is 31331213293. The next prime is 31331213321.

31331213313 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 31331213313 - 220 = 31330164737 is a prime.

It is not an unprimeable number, because it can be changed into a prime (31331213363) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2421006 + ... + 2433912.

It is an arithmetic number, because the mean of its divisors is an integer number (1412651520).

Almost surely, 231331213313 is an apocalyptic number.

It is an amenable number.

31331213313 is a deficient number, since it is larger than the sum of its proper divisors (13873635327).

31331213313 is a wasteful number, since it uses less digits than its factorization.

31331213313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14117.

The product of its digits is 1458, while the sum is 24.

The spelling of 31331213313 in words is "thirty-one billion, three hundred thirty-one million, two hundred thirteen thousand, three hundred thirteen".

Divisors: 1 3 19 37 57 111 703 1151 2109 3453 12907 21869 38721 42587 65607 127761 245233 477559 735699 809153 1432677 2427459 9073621 14855957 27220863 44567871 282263183 549670409 846789549 1649011227 10443737771 31331213313