31200114314000 has 160 divisors (see below), whose sum is σ = 79885528998912. Its totient is φ = 11745058560000.

The previous prime is 31200114313999. The next prime is 31200114314021. The reversal of 31200114314000 is 41341100213.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 636829505 + ... + 636878495.

Almost surely, 2^{31200114314000} 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 31200114314000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39942764499456).

31200114314000 is an abundant number, since it is smaller than the sum of its proper divisors (48685414684912).

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

31200114314000 is a wasteful number, since it uses less digits than its factorization.

31200114314000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67762 (or 67746 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 31200114314000 its reverse (41341100213), we get a palindrome (31241455414213).

The spelling of 31200114314000 in words is "thirty-one trillion, two hundred billion, one hundred fourteen million, three hundred fourteen thousand".