97013303331001 has 8 divisors (see below), whose sum is σ = 97903541654600. Its totient is φ = 96123068789760.

The previous prime is 97013303330939. The next prime is 97013303331013. The reversal of 97013303331001 is 10013330331079.

It can be written as a sum of positive squares in 4 ways, for example, as 14776989487225 + 82236313843776 = 3844085^2 + 9068424^2 .

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 97013303331001 - 2¹³ = 97013303322809 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (97013303331041) 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, 95659855 + ... + 96668683.

It is an arithmetic number, because the mean of its divisors is an integer number (12237942706825).

Almost surely, 2^{97013303331001} is an apocalyptic number.

It is an amenable number.

97013303331001 is a deficient number, since it is larger than the sum of its proper divisors (890238323599).

97013303331001 is a wasteful number, since it uses less digits than its factorization.

97013303331001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1891179.

The product of its (nonzero) digits is 15309, while the sum is 34.

The spelling of 97013303331001 in words is "ninety-seven trillion, thirteen billion, three hundred three million, three hundred thirty-one thousand, one".