101311310133000 has 768 divisors, whose sum is σ = 392288489648640. Its totient is φ = 23342761728000.

The previous prime is 101311310132869. The next prime is 101311310133029. The reversal of 101311310133000 is 331013113101.

101311310133000 is a `hidden beast` number, since 1 + 0 + 1 + 311 + 310 + 13 + 30 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 357347302 + ... + 357630698.

It is an arithmetic number, because the mean of its divisors is an integer number (510792304230).

Almost surely, 2^{101311310133000} is an apocalyptic number.

101311310133000 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 101311310133000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196144244824320).

101311310133000 is an abundant number, since it is smaller than the sum of its proper divisors (290977179515640).

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

101311310133000 is a wasteful number, since it uses less digits than its factorization.

101311310133000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 283615 (or 283598 counting only the distinct ones).

The product of its (nonzero) digits is 81, while the sum is 18.

Adding to 101311310133000 its reverse (331013113101), we get a palindrome (101642323246101).

The spelling of 101311310133000 in words is "one hundred one trillion, three hundred eleven billion, three hundred ten million, one hundred thirty-three thousand".