101313104 has 40 divisors (see below), whose sum is σ = 205466760. Its totient is φ = 48342528.

The previous prime is 101313103. The next prime is 101313109. The reversal of 101313104 is 401313101.

It can be written as a sum of positive squares in 4 ways, for example, as 35378704 + 65934400 = 5948^2 + 8120^2 .

It is a super-2 number, since 2×101313104² = 20528690084229632, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101313103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 29762 + ... + 32990.

It is an arithmetic number, because the mean of its divisors is an integer number (5136669).

Almost surely, 2^101313104 is an apocalyptic number.

It is an amenable number.

101313104 is an abundant number, since it is smaller than the sum of its proper divisors (104153656).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

101313104 is a wasteful number, since it uses less digits than its factorization.

101313104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3327 (or 3321 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 14.

The square root of 101313104 is about 10065.4410732963. The cubic root of 101313104 is about 466.1816848209.

Adding to 101313104 its reverse (401313101), we get a palindrome (502626205).

The spelling of 101313104 in words is "one hundred one million, three hundred thirteen thousand, one hundred four".