31004112321420 has 1152 divisors, whose sum is σ = 109952671825920. Its totient is φ = 6385474529280.

The previous prime is 31004112321419. The next prime is 31004112321421. The reversal of 31004112321420 is 2412321140013.

31004112321420 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (31004112321419) and next prime (31004112321421).

It is a super-2 number, since 2×31004112321420² (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (31004112321421) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 49134884505 + ... + 49134885135.

Almost surely, 2^{31004112321420} is an apocalyptic number.

31004112321420 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 31004112321420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54976335912960).

31004112321420 is an abundant number, since it is smaller than the sum of its proper divisors (78948559504500).

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

31004112321420 is a wasteful number, since it uses less digits than its factorization.

31004112321420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 915 (or 890 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 31004112321420 its reverse (2412321140013), we get a palindrome (33416433461433).

The spelling of 31004112321420 in words is "thirty-one trillion, four billion, one hundred twelve million, three hundred twenty-one thousand, four hundred twenty".