31113102102000 has 320 divisors, whose sum is σ = 102679297104384. Its totient is φ = 8100885811200.

The previous prime is 31113102101999. The next prime is 31113102102007. The reversal of 31113102102000 is 20120131113.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31113102102007) 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, 747405187 + ... + 747446813.

Almost surely, 2^{31113102102000} is an apocalyptic number.

31113102102000 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31113102102000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51339648552192).

31113102102000 is an abundant number, since it is smaller than the sum of its proper divisors (71566195002384).

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

31113102102000 is a wasteful number, since it uses less digits than its factorization.

31113102102000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44593 (or 44577 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 31113102102000 its reverse (20120131113), we get a palindrome (31133222233113).

The spelling of 31113102102000 in words is "thirty-one trillion, one hundred thirteen billion, one hundred two million, one hundred two thousand".