31387411161120 has 768 divisors, whose sum is σ = 124227410227200. Its totient is φ = 6500865392640.

The previous prime is 31387411161077. The next prime is 31387411161121. The reversal of 31387411161120 is 2116111478313.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (31387411161121) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 139250110 + ... + 139475330.

It is an arithmetic number, because the mean of its divisors is an integer number (161754440400).

Almost surely, 2^{31387411161120} is an apocalyptic number.

31387411161120 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 31387411161120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62113705113600).

31387411161120 is an abundant number, since it is smaller than the sum of its proper divisors (92839999066080).

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

31387411161120 is a wasteful number, since it uses less digits than its factorization.

31387411161120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 225361 (or 225353 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 39.

The spelling of 31387411161120 in words is "thirty-one trillion, three hundred eighty-seven billion, four hundred eleven million, one hundred sixty-one thousand, one hundred twenty".