101246006313 has 72 divisors (see below), whose sum is σ = 156453897600. Its totient is φ = 63014426496.

The previous prime is 101246006291. The next prime is 101246006321. The reversal of 101246006313 is 313600642101.

101246006313 is a `hidden beast` number, since 1 + 0 + 1 + 24 + 6 + 0 + 0 + 631 + 3 = 666.

It is a de Polignac number, because none of the positive numbers 2^k-101246006313 is a prime.

It is not an unprimeable number, because it can be changed into a prime (101246006383) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 63957520 + ... + 63959102.

It is an arithmetic number, because the mean of its divisors is an integer number (2172970800).

Almost surely, 2^101246006313 is an apocalyptic number.

It is an amenable number.

101246006313 is a deficient number, since it is larger than the sum of its proper divisors (55207891287).

101246006313 is a wasteful number, since it uses less digits than its factorization.

101246006313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1871 (or 1831 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

Adding to 101246006313 its reverse (313600642101), we get a palindrome (414846648414).

The spelling of 101246006313 in words is "one hundred one billion, two hundred forty-six million, six thousand, three hundred thirteen".