380013413010311 has 24 divisors (see below), whose sum is σ = 406215050117760. Its totient is φ = 355067198619840.

The previous prime is 380013413010211. The next prime is 380013413010323. The reversal of 380013413010311 is 113010314310083.

It is not a de Polignac number, because 380013413010311 - 2¹⁰ = 380013413009287 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (380013413010211) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2237433485 + ... + 2237603321.

It is an arithmetic number, because the mean of its divisors is an integer number (16925627088240).

Almost surely, 2^{380013413010311} is an apocalyptic number.

380013413010311 is a gapful number since it is divisible by the number (31) formed by its first and last digit.

380013413010311 is a deficient number, since it is larger than the sum of its proper divisors (26201637107449).

380013413010311 is a wasteful number, since it uses less digits than its factorization.

380013413010311 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 250215 (or 250184 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 29.

Adding to 380013413010311 its reverse (113010314310083), we get a palindrome (493023727320394).

The spelling of 380013413010311 in words is "three hundred eighty trillion, thirteen billion, four hundred thirteen million, ten thousand, three hundred eleven".