101311320000 has 1120 divisors, whose sum is σ = 394894393344. Its totient is φ = 22668800000.

The previous prime is 101311319947. The next prime is 101311320017. The reversal of 101311320000 is 23113101.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 1426919965 + ... + 1426920035.

Almost surely, 2^101311320000 is an apocalyptic number.

101311320000 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 101311320000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197447196672).

101311320000 is an abundant number, since it is smaller than the sum of its proper divisors (293583073344).

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

101311320000 is a wasteful number, since it uses less digits than its factorization.

101311320000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 187 (or 162 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 12.

Adding to 101311320000 its reverse (23113101), we get a palindrome (101334433101).

The spelling of 101311320000 in words is "one hundred one billion, three hundred eleven million, three hundred twenty thousand".