1331323125345 has 24 divisors (see below), whose sum is σ = 2361292492416. Its totient is φ = 693526464288.

The previous prime is 1331323125337. The next prime is 1331323125347. The reversal of 1331323125345 is 5435213231331.

1331323125345 is a `hidden beast` number, since 1 + 331 + 3 + 2 + 31 + 253 + 45 = 666.

It is not a de Polignac number, because 1331323125345 - 2³ = 1331323125337 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1331323125347) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 344009209 + ... + 344013078.

It is an arithmetic number, because the mean of its divisors is an integer number (98387187184).

Almost surely, 2^{1331323125345} is an apocalyptic number.

1331323125345 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1331323125345 is a deficient number, since it is larger than the sum of its proper divisors (1029969367071).

1331323125345 is a wasteful number, since it uses less digits than its factorization.

1331323125345 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 688022341 (or 688022338 counting only the distinct ones).

The product of its digits is 97200, while the sum is 36.

Adding to 1331323125345 its reverse (5435213231331), we get a palindrome (6766536356676).

The spelling of 1331323125345 in words is "one trillion, three hundred thirty-one billion, three hundred twenty-three million, one hundred twenty-five thousand, three hundred forty-five".