101331131010123 has 16 divisors (see below), whose sum is σ = 154421025546240. Its totient is φ = 57899122288896.

The previous prime is 101331131010121. The next prime is 101331131010173. The reversal of 101331131010123 is 321010131133101.

It is not a de Polignac number, because 101331131010123 - 2¹ = 101331131010121 is a prime.

It is a super-2 number, since 2×101331131010123² (a number of 29 digits) contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 101331131010123.

It is not an unprimeable number, because it can be changed into a prime (101331131010121) 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, 182263563 + ... + 182818676.

It is an arithmetic number, because the mean of its divisors is an integer number (9651314096640).

Almost surely, 2^{101331131010123} is an apocalyptic number.

101331131010123 is a deficient number, since it is larger than the sum of its proper divisors (53089894536117).

101331131010123 is a wasteful number, since it uses less digits than its factorization.

101331131010123 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 365095466.

The product of its (nonzero) digits is 162, while the sum is 21.

Adding to 101331131010123 its reverse (321010131133101), we get a palindrome (422341262143224).

The spelling of 101331131010123 in words is "one hundred one trillion, three hundred thirty-one billion, one hundred thirty-one million, ten thousand, one hundred twenty-three".