31141022132000 has 384 divisors, whose sum is σ = 87252517287936. Its totient is φ = 10812489600000.

The previous prime is 31141022131943. The next prime is 31141022132027. The reversal of 31141022132000 is 23122014113.

It is a Harshad number since it is a multiple of its sum of digits (20).

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, 577825055 + ... + 577878945.

It is an arithmetic number, because the mean of its divisors is an integer number (227220097104).

Almost surely, 2^{31141022132000} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31141022132000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43626258643968).

31141022132000 is an abundant number, since it is smaller than the sum of its proper divisors (56111495155936).

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

31141022132000 is a wasteful number, since it uses less digits than its factorization.

31141022132000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54521 (or 54503 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 31141022132000 its reverse (23122014113), we get a palindrome (31164144146113).

The spelling of 31141022132000 in words is "thirty-one trillion, one hundred forty-one billion, twenty-two million, one hundred thirty-two thousand".