31011000201120 has 192 divisors, whose sum is σ = 99068815722240. Its totient is φ = 8152441651200.

The previous prime is 31011000201119. The next prime is 31011000201131. The reversal of 31011000201120 is 2110200011013.

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

It is a junction number, because it is equal to n+sod(n) for n = 31011000201096 and 31011000201105.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 502342416 + ... + 502404144.

It is an arithmetic number, because the mean of its divisors is an integer number (515983415220).

Almost surely, 2^{31011000201120} is an apocalyptic number.

31011000201120 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 31011000201120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49534407861120).

31011000201120 is an abundant number, since it is smaller than the sum of its proper divisors (68057815521120).

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

31011000201120 is a wasteful number, since it uses less digits than its factorization.

31011000201120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76559 (or 76551 counting only the distinct ones).

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

Adding to 31011000201120 its reverse (2110200011013), we get a palindrome (33121200212133).

The spelling of 31011000201120 in words is "thirty-one trillion, eleven billion, two hundred one thousand, one hundred twenty".