31020781248 has 392 divisors, whose sum is σ = 96845658480. Its totient is φ = 9841305600.

The previous prime is 31020781247. The next prime is 31020781273. The reversal of 31020781248 is 84218702013.

31020781248 is a `hidden beast` number, since 310 + 20 + 7 + 81 + 248 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (31020781247) by changing a digit.

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 55 ways as a sum of consecutive naturals, for example, 136655311 + ... + 136655537.

Almost surely, 2^31020781248 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31020781248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48422829240).

31020781248 is an abundant number, since it is smaller than the sum of its proper divisors (65824877232).

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

31020781248 is a wasteful number, since it uses less digits than its factorization.

31020781248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 387 (or 362 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The spelling of 31020781248 in words is "thirty-one billion, twenty million, seven hundred eighty-one thousand, two hundred forty-eight".