101234131131 has 32 divisors (see below), whose sum is σ = 155359959040. Its totient is φ = 57436718976.

The previous prime is 101234131121. The next prime is 101234131153. The reversal of 101234131131 is 131131432101.

It is not a de Polignac number, because 101234131131 - 2²⁵ = 101200576699 is a prime.

It is a super-2 number, since 2×101234131131² (a number of 23 digits) contains 22 as substring.

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

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 101234131098 and 101234131107.

It is not an unprimeable number, because it can be changed into a prime (101234131121) 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, 4700670 + ... + 4722156.

It is an arithmetic number, because the mean of its divisors is an integer number (4854998720).

Almost surely, 2^101234131131 is an apocalyptic number.

101234131131 is a deficient number, since it is larger than the sum of its proper divisors (54125827909).

101234131131 is a wasteful number, since it uses less digits than its factorization.

101234131131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23083.

The product of its (nonzero) digits is 216, while the sum is 21.

Adding to 101234131131 its reverse (131131432101), we get a palindrome (232365563232).

The spelling of 101234131131 in words is "one hundred one billion, two hundred thirty-four million, one hundred thirty-one thousand, one hundred thirty-one".