31303404101040 has 160 divisors (see below), whose sum is σ = 97473993931776. Its totient is φ = 8310336860160.

The previous prime is 31303404101027. The next prime is 31303404101063. The reversal of 31303404101040 is 4010140430313.

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 31303404101040.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 84171339 + ... + 84542421.

Almost surely, 2^{31303404101040} is an apocalyptic number.

31303404101040 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 31303404101040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48736996965888).

31303404101040 is an abundant number, since it is smaller than the sum of its proper divisors (66170589830736).

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

31303404101040 is a wasteful number, since it uses less digits than its factorization.

31303404101040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 372667 (or 372661 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 31303404101040 its reverse (4010140430313), we get a palindrome (35313544531353).

The spelling of 31303404101040 in words is "thirty-one trillion, three hundred three billion, four hundred four million, one hundred one thousand, forty".