31285213139040 has 384 divisors, whose sum is σ = 116633835601920. Its totient is φ = 6897972787200.

The previous prime is 31285213138997. The next prime is 31285213139087. The reversal of 31285213139040 is 4093131258213.

It is a super-2 number, since 2×31285213139040² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 31285213138983 and 31285213139001.

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 63 ways as a sum of consecutive naturals, for example, 31910871 + ... + 32876649.

It is an arithmetic number, because the mean of its divisors is an integer number (303733946880).

Almost surely, 2^{31285213139040} is an apocalyptic number.

31285213139040 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 31285213139040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58316917800960).

31285213139040 is an abundant number, since it is smaller than the sum of its proper divisors (85348622462880).

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

31285213139040 is a wasteful number, since it uses less digits than its factorization.

31285213139040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 966146 (or 966138 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 42.

The spelling of 31285213139040 in words is "thirty-one trillion, two hundred eighty-five billion, two hundred thirteen million, one hundred thirty-nine thousand, forty".