101310123322031 has 64 divisors (see below), whose sum is σ = 116476442208000. Its totient is φ = 87291288354816.

The previous prime is 101310123322007. The next prime is 101310123322039. The reversal of 101310123322031 is 130223321013101.

It is a de Polignac number, because none of the positive numbers 2^k-101310123322031 is a prime.

It is a super-2 number, since 2×101310123322031² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 101310123321988 and 101310123322006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101310123322039) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 39745045145 + ... + 39745047693.

It is an arithmetic number, because the mean of its divisors is an integer number (1819944409500).

Almost surely, 2^{101310123322031} is an apocalyptic number.

101310123322031 is a deficient number, since it is larger than the sum of its proper divisors (15166318885969).

101310123322031 is a wasteful number, since it uses less digits than its factorization.

101310123322031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5268.

The product of its (nonzero) digits is 648, while the sum is 23.

Adding to 101310123322031 its reverse (130223321013101), we get a palindrome (231533444335132).

The spelling of 101310123322031 in words is "one hundred one trillion, three hundred ten billion, one hundred twenty-three million, three hundred twenty-two thousand, thirty-one".