13022031120000 has 1280 divisors, whose sum is σ = 51840205824000. Its totient is φ = 2832537600000.

The previous prime is 13022031119987. The next prime is 13022031120029. The reversal of 13022031120000 is 2113022031.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 3176877951 + ... + 3176882049.

It is an arithmetic number, because the mean of its divisors is an integer number (40500160800).

Almost surely, 2^{13022031120000} is an apocalyptic number.

13022031120000 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 13022031120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25920102912000).

13022031120000 is an abundant number, since it is smaller than the sum of its proper divisors (38818174704000).

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

13022031120000 is an equidigital number, since it uses as much as digits as its factorization.

13022031120000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4235 (or 4208 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 13022031120000 its reverse (2113022031), we get a palindrome (13024144142031).

The spelling of 13022031120000 in words is "thirteen trillion, twenty-two billion, thirty-one million, one hundred twenty thousand".