31113000212000 has 288 divisors, whose sum is σ = 88943493090816. Its totient is φ = 10665144000000.

The previous prime is 31113000211991. The next prime is 31113000212009. The reversal of 31113000212000 is 21200031113.

It is an interprime number because it is at equal distance from previous prime (31113000211991) and next prime (31113000212009).

It is a Harshad number since it is a multiple of its sum of digits (14).

It is not an unprimeable number, because it can be changed into a prime (31113000212009) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 1185198875 + ... + 1185225125.

It is an arithmetic number, because the mean of its divisors is an integer number (308831573232).

Almost surely, 2^{31113000212000} 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 31113000212000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44471746545408).

31113000212000 is an abundant number, since it is smaller than the sum of its proper divisors (57830492878816).

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

31113000212000 is a wasteful number, since it uses less digits than its factorization.

31113000212000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32337 (or 32312 counting only the distinct ones).

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

Adding to 31113000212000 its reverse (21200031113), we get a palindrome (31134200243113).

The spelling of 31113000212000 in words is "thirty-one trillion, one hundred thirteen billion, two hundred twelve thousand".