13015101 has 16 divisors (see below), whose sum is σ = 18992448. Its totient is φ = 7862400.

The previous prime is 13015073. The next prime is 13015109. The reversal of 13015101 is 10151031.

13015101 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 13015101 - 2⁷ = 13014973 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13015109) 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, 16815 + ... + 17571.

It is an arithmetic number, because the mean of its divisors is an integer number (1187028).

Almost surely, 2^13015101 is an apocalyptic number.

13015101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

13015101 is a deficient number, since it is larger than the sum of its proper divisors (5977347).

13015101 is a wasteful number, since it uses less digits than its factorization.

13015101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1292.

The product of its (nonzero) digits is 15, while the sum is 12.

The square root of 13015101 is about 3607.6447995888. The cubic root of 13015101 is about 235.2244784267.

Adding to 13015101 its reverse (10151031), we get a palindrome (23166132).

The spelling of 13015101 in words is "thirteen million, fifteen thousand, one hundred one".