10303900980961 has 9 divisors (see below), whose sum is σ = 11986196667249. Its totient is φ = 8831895866724.

The previous prime is 10303900980931. The next prime is 10303900980977. The reversal of 10303900980961 is 16908900930301.

The square root of 10303900980961 is 3209969.

It is a perfect power (a square), and thus also a powerful number.

10303900980961 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10303900980961 - 2⁷ = 10303900980833 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is not an unprimeable number, because it can be changed into a prime (10303900980931) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 22240500 + ... + 22699066.

Almost surely, 2^{10303900980961} is an apocalyptic number.

10303900980961 is the 3209969-th square number.

10303900980961 is the 1604985-th centered octagonal number.

It is an amenable number.

10303900980961 is a deficient number, since it is larger than the sum of its proper divisors (1682295686288).

10303900980961 is an frugal number, since it uses more digits than its factorization.

10303900980961 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 917148 (or 458574 counting only the distinct ones).

The product of its (nonzero) digits is 314928, while the sum is 49.

Multiplying 10303900980961 by its sum of digits (49), we get a square (504891148067089 = 22469783²).

10303900980961 divided by its sum of digits (49) gives a square (210283693489 = 458567²).

The spelling of 10303900980961 in words is "ten trillion, three hundred three billion, nine hundred million, nine hundred eighty thousand, nine hundred sixty-one".