101312323213101 has 96 divisors (see below), whose sum is σ = 182764973819904. Its totient is φ = 48575845929600.

The previous prime is 101312323213069. The next prime is 101312323213121.

101312323213101 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 101312323213101 - 2⁵ = 101312323213069 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101312323213121) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 300134320 + ... + 300471686.

It is an arithmetic number, because the mean of its divisors is an integer number (1903801810624).

Almost surely, 2^{101312323213101} is an apocalyptic number.

101312323213101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

101312323213101 is a deficient number, since it is larger than the sum of its proper divisors (81452650606803).

101312323213101 is a wasteful number, since it uses less digits than its factorization.

101312323213101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 346503 (or 346492 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 24.

It can be divided in two parts, 10131 and 2323213101, that added together give a palindrome (2323223232).

The spelling of 101312323213101 in words is "one hundred one trillion, three hundred twelve billion, three hundred twenty-three million, two hundred thirteen thousand, one hundred one".