31133213023000 has 256 divisors, whose sum is σ = 80481413376000. Its totient is φ = 11178293760000.

The previous prime is 31133213022971. The next prime is 31133213023019. The reversal of 31133213023000 is 32031233113.

It is a Harshad number since it is a multiple of its sum of digits (22).

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, 459843151 + ... + 459910849.

It is an arithmetic number, because the mean of its divisors is an integer number (314380521000).

Almost surely, 2^{31133213023000} 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 31133213023000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40240706688000).

31133213023000 is an abundant number, since it is smaller than the sum of its proper divisors (49348200353000).

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

31133213023000 is a wasteful number, since it uses less digits than its factorization.

31133213023000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68259 (or 68245 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 22.

Adding to 31133213023000 its reverse (32031233113), we get a palindrome (31165244256113).

The spelling of 31133213023000 in words is "thirty-one trillion, one hundred thirty-three billion, two hundred thirteen million, twenty-three thousand".