100061313 has 12 divisors (see below), whose sum is σ = 146646864. Its totient is φ = 60643000.

The previous prime is 100061309. The next prime is 100061317. The reversal of 100061313 is 313160001.

It is an interprime number because it is at equal distance from previous prime (100061309) and next prime (100061317).

It is not a de Polignac number, because 100061313 - 2² = 100061309 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 100061292 and 100061301.

It is not an unprimeable number, because it can be changed into a prime (100061317) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 137463 + ... + 138188.

It is an arithmetic number, because the mean of its divisors is an integer number (12220572).

Almost surely, 2^100061313 is an apocalyptic number.

It is an amenable number.

100061313 is a deficient number, since it is larger than the sum of its proper divisors (46585551).

100061313 is a wasteful number, since it uses less digits than its factorization.

100061313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 275676 (or 275665 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 15.

The square root of 100061313 is about 10003.0651802335. The cubic root of 100061313 is about 464.2537272254.

The spelling of 100061313 in words is "one hundred million, sixty-one thousand, three hundred thirteen".