13171520901 has 96 divisors (see below), whose sum is σ = 23197777920. Its totient is φ = 6566313600.

The previous prime is 13171520861. The next prime is 13171520941. The reversal of 13171520901 is 10902517131.

It is an interprime number because it is at equal distance from previous prime (13171520861) and next prime (13171520941).

It is not a de Polignac number, because 13171520901 - 2¹⁴ = 13171504517 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13171520941) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6365095 + ... + 6367163.

It is an arithmetic number, because the mean of its divisors is an integer number (241643520).

Almost surely, 2^13171520901 is an apocalyptic number.

13171520901 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

13171520901 is a deficient number, since it is larger than the sum of its proper divisors (10026257019).

13171520901 is a wasteful number, since it uses less digits than its factorization.

13171520901 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2255 (or 2248 counting only the distinct ones).

The product of its (nonzero) digits is 1890, while the sum is 30.

The spelling of 13171520901 in words is "thirteen billion, one hundred seventy-one million, five hundred twenty thousand, nine hundred one".