13121320031120 has 160 divisors (see below), whose sum is σ = 35171819716608. Its totient is φ = 4459241977344.

The previous prime is 13121320031117. The next prime is 13121320031129. The reversal of 13121320031120 is 2113002312131.

It is a happy number.

It is a super-3 number, since 3×13121320031120³ (a number of 40 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 13121320031092 and 13121320031101.

It is not an unprimeable number, because it can be changed into a prime (13121320031129) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 78361727 + ... + 78528993.

Almost surely, 2^{13121320031120} is an apocalyptic number.

13121320031120 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 13121320031120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17585909858304).

13121320031120 is an abundant number, since it is smaller than the sum of its proper divisors (22050499685488).

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

13121320031120 is a wasteful number, since it uses less digits than its factorization.

13121320031120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 168517 (or 168511 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 20.

Adding to 13121320031120 its reverse (2113002312131), we get a palindrome (15234322343251).

The spelling of 13121320031120 in words is "thirteen trillion, one hundred twenty-one billion, three hundred twenty million, thirty-one thousand, one hundred twenty".