31102301002000 has 240 divisors, whose sum is σ = 77959526770944. Its totient is φ = 12000905280000.

The previous prime is 31102301001983. The next prime is 31102301002001. The reversal of 31102301002000 is 20010320113.

It is not an unprimeable number, because it can be changed into a prime (31102301002001) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1969614105 + ... + 1969629895.

Almost surely, 2^{31102301002000} 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 31102301002000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38979763385472).

31102301002000 is an abundant number, since it is smaller than the sum of its proper divisors (46857225768944).

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

31102301002000 is a wasteful number, since it uses less digits than its factorization.

31102301002000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17043 (or 16998 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 13.

Adding to 31102301002000 its reverse (20010320113), we get a palindrome (31122311322113).

The spelling of 31102301002000 in words is "thirty-one trillion, one hundred two billion, three hundred one million, two thousand".