31131123212000 has 384 divisors, whose sum is σ = 88335492440832. Its totient is φ = 10561781760000.

The previous prime is 31131123211999. The next prime is 31131123212003. The reversal of 31131123212000 is 21232113113.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31131123212003) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1215999200 + ... + 1216024800.

It is an arithmetic number, because the mean of its divisors is an integer number (230040344898).

Almost surely, 2^{31131123212000} 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 31131123212000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44167746220416).

31131123212000 is an abundant number, since it is smaller than the sum of its proper divisors (57204369228832).

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

31131123212000 is a wasteful number, since it uses less digits than its factorization.

31131123212000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26087 (or 26069 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 20.

Adding to 31131123212000 its reverse (21232113113), we get a palindrome (31152355325113).

The spelling of 31131123212000 in words is "thirty-one trillion, one hundred thirty-one billion, one hundred twenty-three million, two hundred twelve thousand".