10101313 has 8 divisors (see below), whose sum is σ = 10310976. Its totient is φ = 9894000.

The previous prime is 10101307. The next prime is 10101317. The reversal of 10101313 is 31310101.

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 10101313 - 2¹⁷ = 9970241 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 10101313.

It is not an unprimeable number, because it can be changed into a prime (10101317) 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, 9918 + ... + 10888.

It is an arithmetic number, because the mean of its divisors is an integer number (1288872).

Almost surely, 2^10101313 is an apocalyptic number.

It is an amenable number.

10101313 is a deficient number, since it is larger than the sum of its proper divisors (209663).

10101313 is a wasteful number, since it uses less digits than its factorization.

10101313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1175.

The product of its (nonzero) digits is 9, while the sum is 10.

The square root of 10101313 is about 3178.2562829325. The cubic root of 10101313 is about 216.1685997887.

Adding to 10101313 its reverse (31310101), we get a palindrome (41411414).

It can be divided in two parts, 10101 and 313, that multiplied together give a palindrome (3161613).

The spelling of 10101313 in words is "ten million, one hundred one thousand, three hundred thirteen".