121088513 has 16 divisors (see below), whose sum is σ = 149304960. Its totient is φ = 95630976.

The previous prime is 121088507. The next prime is 121088519. The reversal of 121088513 is 315880121.

It is an interprime number because it is at equal distance from previous prime (121088507) and next prime (121088519).

It is not a de Polignac number, because 121088513 - 2²⁰ = 120039937 is a prime.

It is not an unprimeable number, because it can be changed into a prime (121088519) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 74453 + ... + 76061.

It is an arithmetic number, because the mean of its divisors is an integer number (9331560).

Almost surely, 2^121088513 is an apocalyptic number.

121088513 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

121088513 is a deficient number, since it is larger than the sum of its proper divisors (28216447).

121088513 is a wasteful number, since it uses less digits than its factorization.

121088513 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2456.

The product of its (nonzero) digits is 1920, while the sum is 29.

The square root of 121088513 is about 11004.0225826740. The cubic root of 121088513 is about 494.7293190717.

The spelling of 121088513 in words is "one hundred twenty-one million, eighty-eight thousand, five hundred thirteen".