157121607013 has 16 divisors (see below), whose sum is σ = 182808752256. Its totient is φ = 132260601600.

The previous prime is 157121607011. The next prime is 157121607061. The reversal of 157121607013 is 310706121751.

It is a happy number.

157121607013 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 157121607013 - 2¹ = 157121607011 is a prime.

It is a super-2 number, since 2×157121607013² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 157121607013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (157121607011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 540763 + ... + 778888.

It is an arithmetic number, because the mean of its divisors is an integer number (11425547016).

Almost surely, 2^157121607013 is an apocalyptic number.

It is an amenable number.

157121607013 is a deficient number, since it is larger than the sum of its proper divisors (25687145243).

157121607013 is a wasteful number, since it uses less digits than its factorization.

157121607013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1319964.

The product of its (nonzero) digits is 8820, while the sum is 34.

Adding to 157121607013 its reverse (310706121751), we get a palindrome (467827728764).

The spelling of 157121607013 in words is "one hundred fifty-seven billion, one hundred twenty-one million, six hundred seven thousand, thirteen".