133102313031000 has 256 divisors, whose sum is σ = 429241829253120. Its totient is φ = 34303590720000.

The previous prime is 133102313030989. The next prime is 133102313031029. The reversal of 133102313031000 is 130313201331.

It is a super-2 number, since 2×133102313031000² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

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, 69455685 + ... + 71346315.

It is an arithmetic number, because the mean of its divisors is an integer number (1676725895520).

Almost surely, 2^{133102313031000} is an apocalyptic number.

133102313031000 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 133102313031000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214620914626560).

133102313031000 is an abundant number, since it is smaller than the sum of its proper divisors (296139516222120).

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

133102313031000 is a wasteful number, since it uses less digits than its factorization.

133102313031000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1891443 (or 1891429 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 21.

Adding to 133102313031000 its reverse (130313201331), we get a palindrome (133232626232331).

The spelling of 133102313031000 in words is "one hundred thirty-three trillion, one hundred two billion, three hundred thirteen million, thirty-one thousand".