31138132388760 has 192 divisors, whose sum is σ = 103491241850880. Its totient is φ = 8115890576640.

The previous prime is 31138132388723. The next prime is 31138132388773. The reversal of 31138132388760 is 6788323183113.

It is a happy number.

31138132388760 is a `hidden beast` number, since 3 + 113 + 81 + 3 + 2 + 388 + 76 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 31138132388697 and 31138132388706.

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 11333125 + ... + 13809995.

It is an arithmetic number, because the mean of its divisors is an integer number (539016884640).

Almost surely, 2^{31138132388760} is an apocalyptic number.

31138132388760 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 31138132388760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51745620925440).

31138132388760 is an abundant number, since it is smaller than the sum of its proper divisors (72353109462120).

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

31138132388760 is a wasteful number, since it uses less digits than its factorization.

31138132388760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2477678 (or 2477671 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The spelling of 31138132388760 in words is "thirty-one trillion, one hundred thirty-eight billion, one hundred thirty-two million, three hundred eighty-eight thousand, seven hundred sixty".