101314012112031 has 16 divisors (see below), whose sum is σ = 142201392506240. Its totient is φ = 63984967619040.

The previous prime is 101314012112029. The next prime is 101314012112101. The reversal of 101314012112031 is 130211210413101.

It is a happy number.

It is not a de Polignac number, because 101314012112031 - 2¹ = 101314012112029 is a prime.

It is a super-2 number, since 2×101314012112031² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 101314012111989 and 101314012112007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101314012112021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 37997965 + ... + 40576758.

It is an arithmetic number, because the mean of its divisors is an integer number (8887587031640).

Almost surely, 2^{101314012112031} is an apocalyptic number.

101314012112031 is a deficient number, since it is larger than the sum of its proper divisors (40887380394209).

101314012112031 is a wasteful number, since it uses less digits than its factorization.

101314012112031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78597366.

The product of its (nonzero) digits is 144, while the sum is 21.

Adding to 101314012112031 its reverse (130211210413101), we get a palindrome (231525222525132).

The spelling of 101314012112031 in words is "one hundred one trillion, three hundred fourteen billion, twelve million, one hundred twelve thousand, thirty-one".