106713131 has 16 divisors (see below), whose sum is σ = 131774400. Its totient is φ = 86083200.

The previous prime is 106713083. The next prime is 106713149. The reversal of 106713131 is 131317601.

It is not a de Polignac number, because 106713131 - 2²² = 102518827 is a prime.

It is a super-2 number, since 2×106713131² = 22775384655646322, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 106713097 and 106713106.

It is not an unprimeable number, because it can be changed into a prime (106713151) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3320 + ... + 14981.

It is an arithmetic number, because the mean of its divisors is an integer number (8235900).

Almost surely, 2^106713131 is an apocalyptic number.

106713131 is a deficient number, since it is larger than the sum of its proper divisors (25061269).

106713131 is an equidigital number, since it uses as much as digits as its factorization.

106713131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18339 (or 18325 counting only the distinct ones).

The product of its (nonzero) digits is 378, while the sum is 23.

The square root of 106713131 is about 10330.2047898384. The cubic root of 106713131 is about 474.3212925507.

The spelling of 106713131 in words is "one hundred six million, seven hundred thirteen thousand, one hundred thirty-one".