1013332131221 has 2 divisors, whose sum is σ = 1013332131222. Its totient is φ = 1013332131220.

The previous prime is 1013332131179. The next prime is 1013332131223. The reversal of 1013332131221 is 1221312333101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 832163572900 + 181168558321 = 912230^2 + 425639^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-1013332131221 is a prime.

Together with 1013332131223, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1013332131223) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 506666065610 + 506666065611.

It is an arithmetic number, because the mean of its divisors is an integer number (506666065611).

Almost surely, 2^{1013332131221} is an apocalyptic number.

It is an amenable number.

1013332131221 is a deficient number, since it is larger than the sum of its proper divisors (1).

1013332131221 is an equidigital number, since it uses as much as digits as its factorization.

1013332131221 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 648, while the sum is 23.

Adding to 1013332131221 its reverse (1221312333101), we get a palindrome (2234644464322).

The spelling of 1013332131221 in words is "one trillion, thirteen billion, three hundred thirty-two million, one hundred thirty-one thousand, two hundred twenty-one".