101312013 has 8 divisors (see below), whose sum is σ = 147362976. Its totient is φ = 61401200.

The previous prime is 101311997. The next prime is 101312023. The reversal of 101312013 is 310213101.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 101312013 - 2⁴ = 101311997 is a prime.

It is a super-2 number, since 2×101312013² = 20528247956224338, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 101312013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101312023) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1534998 + ... + 1535063.

It is an arithmetic number, because the mean of its divisors is an integer number (18420372).

Almost surely, 2^101312013 is an apocalyptic number.

It is an amenable number.

101312013 is a deficient number, since it is larger than the sum of its proper divisors (46050963).

101312013 is a wasteful number, since it uses less digits than its factorization.

101312013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3070075.

The product of its (nonzero) digits is 18, while the sum is 12.

The square root of 101312013 is about 10065.3868778105. The cubic root of 101312013 is about 466.1800114406.

Adding to 101312013 its reverse (310213101), we get a palindrome (411525114).

The spelling of 101312013 in words is "one hundred one million, three hundred twelve thousand, thirteen".