126613364031 has 160 divisors (see below), whose sum is σ = 250534259712. Its totient is φ = 61692503040.

The previous prime is 126613364023. The next prime is 126613364047. The reversal of 126613364031 is 130463316621.

126613364031 is a `hidden beast` number, since 1 + 2 + 6 + 6 + 1 + 3 + 3 + 640 + 3 + 1 = 666.

It is not a de Polignac number, because 126613364031 - 2³ = 126613364023 is a prime.

It is a super-3 number, since 3×126613364031³ (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (126613364021) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 33609310 + ... + 33613076.

Almost surely, 2^126613364031 is an apocalyptic number.

126613364031 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

126613364031 is a deficient number, since it is larger than the sum of its proper divisors (123920895681).

126613364031 is a wasteful number, since it uses less digits than its factorization.

126613364031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4131 (or 4122 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

The spelling of 126613364031 in words is "one hundred twenty-six billion, six hundred thirteen million, three hundred sixty-four thousand, thirty-one".