101013131320 has 64 divisors (see below), whose sum is σ = 232437703680. Its totient is φ = 39490636416.

The previous prime is 101013131299. The next prime is 101013131341. The reversal of 101013131320 is 23131310101.

It is an interprime number because it is at equal distance from previous prime (101013131299) and next prime (101013131341).

It is a junction number, because it is equal to n+sod(n) for n = 101013131294 and 101013131303.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1329807 + ... + 1403713.

It is an arithmetic number, because the mean of its divisors is an integer number (3631839120).

Almost surely, 2^101013131320 is an apocalyptic number.

101013131320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101013131320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116218851840).

101013131320 is an abundant number, since it is smaller than the sum of its proper divisors (131424572360).

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

101013131320 is a wasteful number, since it uses less digits than its factorization.

101013131320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74692 (or 74688 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 16.

Adding to 101013131320 its reverse (23131310101), we get a palindrome (124144441421).

The spelling of 101013131320 in words is "one hundred one billion, thirteen million, one hundred thirty-one thousand, three hundred twenty".