10120133310997 has 2 divisors, whose sum is σ = 10120133310998. Its totient is φ = 10120133310996.

The previous prime is 10120133310979. The next prime is 10120133311049. The reversal of 10120133310997 is 79901333102101.

10120133310997 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

Together with previous prime (10120133310979) it forms an Ormiston pair, because they use the same digits, order apart.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 7909110034596 + 2211023276401 = 2812314^2 + 1486951^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10120133310997 is a prime.

It is a super-2 number, since 2×10120133310997² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10120133310097) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5060066655498 + 5060066655499.

It is an arithmetic number, because the mean of its divisors is an integer number (5060066655499).

Almost surely, 2^{10120133310997} is an apocalyptic number.

It is an amenable number.

10120133310997 is a deficient number, since it is larger than the sum of its proper divisors (1).

10120133310997 is an equidigital number, since it uses as much as digits as its factorization.

10120133310997 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 30618, while the sum is 40.

The spelling of 10120133310997 in words is "ten trillion, one hundred twenty billion, one hundred thirty-three million, three hundred ten thousand, nine hundred ninety-seven".