34400012332131 has 12 divisors (see below), whose sum is σ = 52304112318120. Its totient is φ = 21726323578080.

The previous prime is 34400012332129. The next prime is 34400012332157. The reversal of 34400012332131 is 13123321000443.

It is a happy number.

34400012332131 is a `hidden beast` number, since 3 + 4 + 400 + 0 + 1 + 233 + 21 + 3 + 1 = 666.

It is not a de Polignac number, because 34400012332131 - 2¹ = 34400012332129 is a prime.

It is a super-2 number, since 2×34400012332131² (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 34400012332095 and 34400012332104.

It is not an unprimeable number, because it can be changed into a prime (34400012332181) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 100584831210 + ... + 100584831551.

It is an arithmetic number, because the mean of its divisors is an integer number (4358676026510).

Almost surely, 2^{34400012332131} is an apocalyptic number.

34400012332131 is a deficient number, since it is larger than the sum of its proper divisors (17904099985989).

34400012332131 is a wasteful number, since it uses less digits than its factorization.

34400012332131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 201169662786 (or 201169662783 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 34400012332131 its reverse (13123321000443), we get a palindrome (47523333332574).

The spelling of 34400012332131 in words is "thirty-four trillion, four hundred billion, twelve million, three hundred thirty-two thousand, one hundred thirty-one".