13130213332311 has 32 divisors (see below), whose sum is σ = 20402963988480. Its totient is φ = 8335684569888.

The previous prime is 13130213332303. The next prime is 13130213332319. The reversal of 13130213332311 is 11323331203131.

13130213332311 is a `hidden beast` number, since 1 + 3 + 1 + 3 + 0 + 2 + 13 + 332 + 311 = 666.

It is an interprime number because it is at equal distance from previous prime (13130213332303) and next prime (13130213332319).

It is not a de Polignac number, because 13130213332311 - 2³ = 13130213332303 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13130213332319) 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, 139775991 + ... + 139869896.

It is an arithmetic number, because the mean of its divisors is an integer number (637592624640).

Almost surely, 2^{13130213332311} is an apocalyptic number.

13130213332311 is a deficient number, since it is larger than the sum of its proper divisors (7272750656169).

13130213332311 is a wasteful number, since it uses less digits than its factorization.

13130213332311 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 279645980 (or 279645974 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 27.

Adding to 13130213332311 its reverse (11323331203131), we get a palindrome (24453544535442).

The spelling of 13130213332311 in words is "thirteen trillion, one hundred thirty billion, two hundred thirteen million, three hundred thirty-two thousand, three hundred eleven".