31361541120 has 1056 divisors, whose sum is σ = 139198096128. Its totient is φ = 6593052672.

The previous prime is 31361541109. The next prime is 31361541179. The reversal of 31361541120 is 2114516313.

It is a happy number.

31361541120 is a `hidden beast` number, since 3 + 1 + 3 + 615 + 41 + 1 + 2 + 0 = 666.

It is a super-2 number, since 2×31361541120² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 113218422 + ... + 113218698.

Almost surely, 2^31361541120 is an apocalyptic number.

31361541120 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 31361541120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69599048064).

31361541120 is an abundant number, since it is smaller than the sum of its proper divisors (107836555008).

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

31361541120 is a wasteful number, since it uses less digits than its factorization.

31361541120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 337 (or 307 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The spelling of 31361541120 in words is "thirty-one billion, three hundred sixty-one million, five hundred forty-one thousand, one hundred twenty".