13020131333020 has 144 divisors (see below), whose sum is σ = 32437468526400. Its totient is φ = 4375624221696.

The previous prime is 13020131333003. The next prime is 13020131333023. The reversal of 13020131333020 is 2033313102031.

It is a junction number, because it is equal to n+sod(n) for n = 13020131332982 and 13020131333000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13020131333023) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 54365577 + ... + 54604543.

It is an arithmetic number, because the mean of its divisors is an integer number (225260198100).

Almost surely, 2^{13020131333020} is an apocalyptic number.

13020131333020 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 13020131333020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16218734263200).

13020131333020 is an abundant number, since it is smaller than the sum of its proper divisors (19417337193380).

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

13020131333020 is a wasteful number, since it uses less digits than its factorization.

13020131333020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 240092 (or 240083 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 22.

Adding to 13020131333020 its reverse (2033313102031), we get a palindrome (15053444435051).

The spelling of 13020131333020 in words is "thirteen trillion, twenty billion, one hundred thirty-one million, three hundred thirty-three thousand, twenty".