20311313133000 has 384 divisors, whose sum is σ = 68037004264320. Its totient is φ = 5040818956800.

The previous prime is 20311313132987. The next prime is 20311313133029. The reversal of 20311313133000 is 33131311302.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 58546047 + ... + 58891953.

It is an arithmetic number, because the mean of its divisors is an integer number (177179698605).

Almost surely, 2^{20311313133000} is an apocalyptic number.

20311313133000 is a gapful number since it is divisible by the number (20) 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 20311313133000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34018502132160).

20311313133000 is an abundant number, since it is smaller than the sum of its proper divisors (47725691131320).

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

20311313133000 is a wasteful number, since it uses less digits than its factorization.

20311313133000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 346014 (or 345977 counting only the distinct ones).

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

Adding to 20311313133000 its reverse (33131311302), we get a palindrome (20344444444302).

The spelling of 20311313133000 in words is "twenty trillion, three hundred eleven billion, three hundred thirteen million, one hundred thirty-three thousand".