31601013302040 has 256 divisors, whose sum is σ = 116737581542400. Its totient is φ = 6664214145024.

The previous prime is 31601013302039. The next prime is 31601013302071. The reversal of 31601013302040 is 4020331010613.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 31601013302040.

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 63 ways as a sum of consecutive naturals, for example, 21713971 + ... + 23123549.

It is an arithmetic number, because the mean of its divisors is an integer number (456006177900).

Almost surely, 2^{31601013302040} is an apocalyptic number.

31601013302040 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 31601013302040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58368790771200).

31601013302040 is an abundant number, since it is smaller than the sum of its proper divisors (85136568240360).

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

31601013302040 is a wasteful number, since it uses less digits than its factorization.

31601013302040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1411666 (or 1411662 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

Adding to 31601013302040 its reverse (4020331010613), we get a palindrome (35621344312653).

The spelling of 31601013302040 in words is "thirty-one trillion, six hundred one billion, thirteen million, three hundred two thousand, forty".