31124321280 has 880 divisors, whose sum is σ = 125832921984. Its totient is φ = 7299072000.

The previous prime is 31124321237. The next prime is 31124321339. The reversal of 31124321280 is 8212342113.

31124321280 is a `hidden beast` number, since 311 + 2 + 4 + 321 + 28 + 0 = 666.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 124001155 + ... + 124001405.

Almost surely, 2^31124321280 is an apocalyptic number.

31124321280 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 31124321280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62916460992).

31124321280 is an abundant number, since it is smaller than the sum of its proper divisors (94708600704).

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

31124321280 is a wasteful number, since it uses less digits than its factorization.

31124321280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 324 (or 297 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

Adding to 31124321280 its reverse (8212342113), we get a palindrome (39336663393).

The spelling of 31124321280 in words is "thirty-one billion, one hundred twenty-four million, three hundred twenty-one thousand, two hundred eighty".