1231320903201 has 27 divisors (see below), whose sum is σ = 1788063852627. Its totient is φ = 816524120160.

The previous prime is 1231320903179. The next prime is 1231320903227. The reversal of 1231320903201 is 1023090231321.

The square root of 1231320903201 is 1109649.

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

1231320903201 is a `hidden beast` number, since 1 + 2 + 313 + 20 + 9 + 0 + 320 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 34869960225 + 1196450942976 = 186735^2 + 1093824^2 .

It is not a de Polignac number, because 1231320903201 - 2¹³ = 1231320895009 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (1231320905201) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 702406941 + ... + 702408693.

Almost surely, 2^{1231320903201} is an apocalyptic number.

1231320903201 is the 1109649-th square number.

1231320903201 is the 554825-th centered octagonal number.

It is an amenable number.

1231320903201 is a deficient number, since it is larger than the sum of its proper divisors (556742949426).

1231320903201 is an frugal number, since it uses more digits than its factorization.

1231320903201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3934 (or 1967 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

It can be divided in two parts, 1231320 and 903201, that added together give a square (2134521 = 1461²).

The spelling of 1231320903201 in words is "one trillion, two hundred thirty-one billion, three hundred twenty million, nine hundred three thousand, two hundred one".