31200011013000 has 256 divisors, whose sum is σ = 98600900935680. Its totient is φ = 8213244000000.

The previous prime is 31200011012987. The next prime is 31200011013013. The reversal of 31200011013000 is 31011000213.

It is an interprime number because it is at equal distance from previous prime (31200011012987) and next prime (31200011013013).

It is a super-2 number, since 2×31200011013000² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 74855175 + ... + 75270825.

It is an arithmetic number, because the mean of its divisors is an integer number (385159769280).

Almost surely, 2^{31200011013000} is an apocalyptic number.

31200011013000 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 31200011013000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49300450467840).

31200011013000 is an abundant number, since it is smaller than the sum of its proper divisors (67400889922680).

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

31200011013000 is a wasteful number, since it uses less digits than its factorization.

31200011013000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 415997 (or 415983 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 12.

Adding to 31200011013000 its reverse (31011000213), we get a palindrome (31231022013213).

The spelling of 31200011013000 in words is "thirty-one trillion, two hundred billion, eleven million, thirteen thousand".