93301001111513 has 8 divisors (see below), whose sum is σ = 103942759859400. Its totient is φ = 83154207886848.

The previous prime is 93301001111503. The next prime is 93301001111581. The reversal of 93301001111513 is 31511110010339.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 14157060932569 + 79143940178944 = 3762587^2 + 8896288^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 93301001111513 - 2¹⁰ = 93301001110489 is a prime.

It is a super-2 number, since 2×93301001111513² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (93301001111503) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 123741380408 + ... + 123741381161.

It is an arithmetic number, because the mean of its divisors is an integer number (12992844982425).

Almost surely, 2^{93301001111513} is an apocalyptic number.

It is an amenable number.

93301001111513 is a deficient number, since it is larger than the sum of its proper divisors (10641758747887).

93301001111513 is a wasteful number, since it uses less digits than its factorization.

93301001111513 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 247482761611.

The product of its (nonzero) digits is 1215, while the sum is 29.

The spelling of 93301001111513 in words is "ninety-three trillion, three hundred one billion, one million, one hundred eleven thousand, five hundred thirteen".