101131210131031 has 16 divisors (see below), whose sum is σ = 104866948512000. Its totient is φ = 97425205113600.

The previous prime is 101131210130887. The next prime is 101131210131131. The reversal of 101131210131031 is 130131012131101.

It is a cyclic number.

It is not a de Polignac number, because 101131210131031 - 2³¹ = 101129062647383 is a prime.

It is a super-2 number, since 2×101131210131031² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101131210131131) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 41268195 + ... + 43650043.

It is an arithmetic number, because the mean of its divisors is an integer number (6554184282000).

Almost surely, 2^{101131210131031} is an apocalyptic number.

101131210131031 is a deficient number, since it is larger than the sum of its proper divisors (3735738380969).

101131210131031 is a wasteful number, since it uses less digits than its factorization.

101131210131031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2388090.

The product of its (nonzero) digits is 54, while the sum is 19.

Adding to 101131210131031 its reverse (130131012131101), we get a palindrome (231262222262132).

The spelling of 101131210131031 in words is "one hundred one trillion, one hundred thirty-one billion, two hundred ten million, one hundred thirty-one thousand, thirty-one".