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31013101123121 = 137013403171417
BaseRepresentation
bin1110000110100110011001…
…11000000011011000110001
311001210211020100012012021102
413003103030320003120301
513031104312341414441
6145543115540134145
76350423362013405
oct703231470033061
9131724210165242
1031013101123121
11997764508a727
12358a668997355
13143c6a4a24540
14793083763105
1538bac67b969b
hex1c34cce03631

31013101123121 has 8 divisors (see below), whose sum is σ = 33446368696104. Its totient is φ = 28586639894400.

The previous prime is 31013101123093. The next prime is 31013101123181. The reversal of 31013101123121 is 12132110131013.

It can be written as a sum of positive squares in 4 ways, for example, as 15302460890896 + 15710640232225 = 3911836^2 + 3963665^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-31013101123121 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 31013101123093 and 31013101123102.

It is not an unprimeable number, because it can be changed into a prime (31013101123181) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1701576596 + ... + 1701594821.

It is an arithmetic number, because the mean of its divisors is an integer number (4180796087013).

Almost surely, 231013101123121 is an apocalyptic number.

It is an amenable number.

31013101123121 is a deficient number, since it is larger than the sum of its proper divisors (2433267572983).

31013101123121 is a wasteful number, since it uses less digits than its factorization.

31013101123121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3403172131.

The product of its (nonzero) digits is 108, while the sum is 20.

Adding to 31013101123121 its reverse (12132110131013), we get a palindrome (43145211254134).

The spelling of 31013101123121 in words is "thirty-one trillion, thirteen billion, one hundred one million, one hundred twenty-three thousand, one hundred twenty-one".

Divisors: 1 13 701 9113 3403171417 44241228421 2385623163317 31013101123121