101013211313120 has 96 divisors (see below), whose sum is σ = 246579003740160. Its totient is φ = 39064252101120.

The previous prime is 101013211313111. The next prime is 101013211313123. The reversal of 101013211313120 is 21313112310101.

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 = 101013211313092 and 101013211313101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101013211313123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4647122 + ... + 14954001.

It is an arithmetic number, because the mean of its divisors is an integer number (2568531288960).

Almost surely, 2^{101013211313120} is an apocalyptic number.

101013211313120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101013211313120 is an abundant number, since it is smaller than the sum of its proper divisors (145565792427040).

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

101013211313120 is a wasteful number, since it uses less digits than its factorization.

101013211313120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19602208 (or 19602200 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 20.

Adding to 101013211313120 its reverse (21313112310101), we get a palindrome (122326323623221).

The spelling of 101013211313120 in words is "one hundred one trillion, thirteen billion, two hundred eleven million, three hundred thirteen thousand, one hundred twenty".