101131013022000 has 320 divisors, whose sum is σ = 351165466055040. Its totient is φ = 24891052032000.

The previous prime is 101131013021897. The next prime is 101131013022023. The reversal of 101131013022000 is 220310131101.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 761915640 + ... + 762048360.

It is an arithmetic number, because the mean of its divisors is an integer number (1097392081422).

Almost surely, 2^{101131013022000} is an apocalyptic number.

101131013022000 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 101131013022000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175582733027520).

101131013022000 is an abundant number, since it is smaller than the sum of its proper divisors (250034453033040).

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

101131013022000 is a wasteful number, since it uses less digits than its factorization.

101131013022000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142529 (or 142513 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 101131013022000 its reverse (220310131101), we get a palindrome (101351323153101).

The spelling of 101131013022000 in words is "one hundred one trillion, one hundred thirty-one billion, thirteen million, twenty-two thousand".