32133131310000 has 1200 divisors, whose sum is σ = 123957999617760. Its totient is φ = 7145349120000.

The previous prime is 32133131309999. The next prime is 32133131310037. The reversal of 32133131310000 is 1313133123.

It is a tau number, because it is divible by the number of its divisors (1200).

It is a super-2 number, since 2×32133131310000² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 34293629532 + ... + 34293630468.

Almost surely, 2^{32133131310000} is an apocalyptic number.

32133131310000 is a gapful number since it is divisible by the number (30) 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 32133131310000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61978999808880).

32133131310000 is an abundant number, since it is smaller than the sum of its proper divisors (91824868307760).

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

32133131310000 is a wasteful number, since it uses less digits than its factorization.

32133131310000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1592 (or 1564 counting only the distinct ones).

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

Adding to 32133131310000 its reverse (1313133123), we get a palindrome (32134444443123).

The spelling of 32133131310000 in words is "thirty-two trillion, one hundred thirty-three billion, one hundred thirty-one million, three hundred ten thousand".