31201131200 has 168 divisors, whose sum is σ = 82789440720. Its totient is φ = 11534745600.

The previous prime is 31201131197. The next prime is 31201131223. The reversal of 31201131200 is 213110213.

It is a super-2 number, since 2×31201131200² (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1233884 + ... + 1258916.

It is an arithmetic number, because the mean of its divisors is an integer number (492794290).

Almost surely, 2^31201131200 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 31201131200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41394720360).

31201131200 is an abundant number, since it is smaller than the sum of its proper divisors (51588309520).

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

31201131200 is a wasteful number, since it uses less digits than its factorization.

31201131200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25115 (or 25100 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 14.

Adding to 31201131200 its reverse (213110213), we get a palindrome (31414241413).

The spelling of 31201131200 in words is "thirty-one billion, two hundred one million, one hundred thirty-one thousand, two hundred".