10031979328901 has 8 divisors (see below), whose sum is σ = 10047207452184. Its totient is φ = 10016761063680.

The previous prime is 10031979328843. The next prime is 10031979328907. The reversal of 10031979328901 is 10982397913001.

It is a Cunningham number, because it is equal to 3167330²+1.

It can be written as a sum of positive squares in 4 ways, for example, as 454780291876 + 9577199037025 = 674374^2 + 3094705^2 .

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 10031979328901 - 2⁶ = 10031979328837 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10031979328907) 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 7 ways as a sum of consecutive naturals, for example, 426410 + ... + 4499531.

It is an arithmetic number, because the mean of its divisors is an integer number (1255900931523).

Almost surely, 2^{10031979328901} is an apocalyptic number.

It is an amenable number.

10031979328901 is a deficient number, since it is larger than the sum of its proper divisors (15228123283).

10031979328901 is an equidigital number, since it uses as much as digits as its factorization.

10031979328901 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4929031.

The product of its (nonzero) digits is 734832, while the sum is 53.

The spelling of 10031979328901 in words is "ten trillion, thirty-one billion, nine hundred seventy-nine million, three hundred twenty-eight thousand, nine hundred one".