1331741388121 has 9 divisors (see below), whose sum is σ = 1414708058911. Its totient is φ = 1253385195232.

The previous prime is 1331741388113. The next prime is 1331741388137. The reversal of 1331741388121 is 1218831471331.

The square root of 1331741388121 is 1154011.

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

It can be written as a sum of positive squares in only one way, i.e., 1036822880025 + 294918508096 = 1018245^2 + 543064^2 .

It is not a de Polignac number, because 1331741388121 - 2³ = 1331741388113 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1331741388161) 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, 19584246 + ... + 19652128.

Almost surely, 2^{1331741388121} is an apocalyptic number.

1331741388121 is the 1154011-st square number.

1331741388121 is the 577006-th centered octagonal number.

It is an amenable number.

1331741388121 is a deficient number, since it is larger than the sum of its proper divisors (82966670790).

1331741388121 is an frugal number, since it uses more digits than its factorization.

1331741388121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135800 (or 67900 counting only the distinct ones).

The product of its digits is 96768, while the sum is 43.

The spelling of 1331741388121 in words is "one trillion, three hundred thirty-one billion, seven hundred forty-one million, three hundred eighty-eight thousand, one hundred twenty-one".