1020013961 has 2 divisors, whose sum is σ = 1020013962. Its totient is φ = 1020013960.

The previous prime is 1020013937. The next prime is 1020013979. The reversal of 1020013961 is 1693100201.

It is a happy number.

1020013961 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 988159225 + 31854736 = 31435^2 + 5644^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-1020013961 is a prime.

It is not a weakly prime, because it can be changed into another prime (1020013901) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 510006980 + 510006981.

It is an arithmetic number, because the mean of its divisors is an integer number (510006981).

Almost surely, 2^1020013961 is an apocalyptic number.

It is an amenable number.

1020013961 is a deficient number, since it is larger than the sum of its proper divisors (1).

1020013961 is an equidigital number, since it uses as much as digits as its factorization.

1020013961 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 324, while the sum is 23.

The square root of 1020013961 is about 31937.6574125279. The cubic root of 1020013961 is about 1006.6273021730.

The spelling of 1020013961 in words is "one billion, twenty million, thirteen thousand, nine hundred sixty-one".