1301631112320 has 512 divisors, whose sum is σ = 5215537244160. Its totient is φ = 270465085440.

The previous prime is 1301631112297. The next prime is 1301631112337. The reversal of 1301631112320 is 232111361031.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 17852259 + ... + 17925021.

It is an arithmetic number, because the mean of its divisors is an integer number (10186596180).

Almost surely, 2^{1301631112320} is an apocalyptic number.

1301631112320 is a gapful number since it is divisible by the number (10) 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 1301631112320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2607768622080).

1301631112320 is an abundant number, since it is smaller than the sum of its proper divisors (3913906131840).

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

1301631112320 is an equidigital number, since it uses as much as digits as its factorization.

1301631112320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72825 (or 72791 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 24.

Adding to 1301631112320 its reverse (232111361031), we get a palindrome (1533742473351).

The spelling of 1301631112320 in words is "one trillion, three hundred one billion, six hundred thirty-one million, one hundred twelve thousand, three hundred twenty".