101331001311320 has 128 divisors (see below), whose sum is σ = 263356771037760. Its totient is φ = 34679530536960.

The previous prime is 101331001311317. The next prime is 101331001311341. The reversal of 101331001311320 is 23113100133101.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 101331001311292 and 101331001311301.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 796833182 + ... + 796960338.

Almost surely, 2^{101331001311320} is an apocalyptic number.

101331001311320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101331001311320 is an abundant number, since it is smaller than the sum of its proper divisors (162025769726440).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

101331001311320 is a wasteful number, since it uses less digits than its factorization.

101331001311320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 233733 (or 233729 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 20.

Adding to 101331001311320 its reverse (23113100133101), we get a palindrome (124444101444421).

The spelling of 101331001311320 in words is "one hundred one trillion, three hundred thirty-one billion, one million, three hundred eleven thousand, three hundred twenty".