101311413 has 16 divisors (see below), whose sum is σ = 159703680. Its totient is φ = 55895616.

The previous prime is 101311411. The next prime is 101311421. The reversal of 101311413 is 314113101.

It is not a de Polignac number, because 101311413 - 2¹ = 101311411 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 101311392 and 101311401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101311411) 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, 82570 + ... + 83787.

It is an arithmetic number, because the mean of its divisors is an integer number (9981480).

Almost surely, 2^101311413 is an apocalyptic number.

It is an amenable number.

101311413 is a deficient number, since it is larger than the sum of its proper divisors (58392267).

101311413 is a wasteful number, since it uses less digits than its factorization.

101311413 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 166396.

The product of its (nonzero) digits is 36, while the sum is 15.

The square root of 101311413 is about 10065.3570726527. The cubic root of 101311413 is about 466.1790911531.

Adding to 101311413 its reverse (314113101), we get a palindrome (415424514).

The spelling of 101311413 in words is "one hundred one million, three hundred eleven thousand, four hundred thirteen".