1213961036401 has 9 divisors (see below), whose sum is σ = 1216680841099. Its totient is φ = 1211247305464.

The previous prime is 1213961036383. The next prime is 1213961036419. The reversal of 1213961036401 is 1046301693121.

The square root of 1213961036401 is 1101799.

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

It is an interprime number because it is at equal distance from previous prime (1213961036383) and next prime (1213961036419).

It can be written as a sum of positive squares in only one way, i.e., 759852173025 + 454108863376 = 871695^2 + 673876^2 .

It is not a de Polignac number, because 1213961036401 - 2⁵ = 1213961036369 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1213961036441) 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, 646755075 + ... + 646756951.

Almost surely, 2^{1213961036401} is an apocalyptic number.

1213961036401 is the 1101799-th square number.

1213961036401 is the 550900-th centered octagonal number.

It is an amenable number.

1213961036401 is a deficient number, since it is larger than the sum of its proper divisors (2719804698).

1213961036401 is an frugal number, since it uses more digits than its factorization.

1213961036401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4928 (or 2464 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 37.

The spelling of 1213961036401 in words is "one trillion, two hundred thirteen billion, nine hundred sixty-one million, thirty-six thousand, four hundred one".