130202003011311 has 24 divisors (see below), whose sum is σ = 234476334428544. Its totient is φ = 67637404161360.

The previous prime is 130202003011307. The next prime is 130202003011337. The reversal of 130202003011311 is 113110300202031.

130202003011311 is a `hidden beast` number, since 1 + 30 + 2 + 0 + 20 + 0 + 301 + 1 + 311 = 666.

It is not a de Polignac number, because 130202003011311 - 2² = 130202003011307 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130202503011311) 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, 93940838421 + ... + 93940839806.

It is an arithmetic number, because the mean of its divisors is an integer number (9769847267856).

Almost surely, 2^{130202003011311} is an apocalyptic number.

130202003011311 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

130202003011311 is a deficient number, since it is larger than the sum of its proper divisors (104274331417233).

130202003011311 is a wasteful number, since it uses less digits than its factorization.

130202003011311 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 187881678251 (or 187881678248 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 130202003011311 its reverse (113110300202031), we get a palindrome (243312303213342).

The spelling of 130202003011311 in words is "one hundred thirty trillion, two hundred two billion, three million, eleven thousand, three hundred eleven".