1101013231121 has 2 divisors, whose sum is σ = 1101013231122. Its totient is φ = 1101013231120.

The previous prime is 1101013230997. The next prime is 1101013231187. The reversal of 1101013231121 is 1211323101011.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 610398438400 + 490614792721 = 781280^2 + 700439^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-1101013231121 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 1101013231121.

It is not a weakly prime, because it can be changed into another prime (1101013239121) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 550506615560 + 550506615561.

It is an arithmetic number, because the mean of its divisors is an integer number (550506615561).

Almost surely, 2^{1101013231121} is an apocalyptic number.

It is an amenable number.

1101013231121 is a deficient number, since it is larger than the sum of its proper divisors (1).

1101013231121 is an equidigital number, since it uses as much as digits as its factorization.

1101013231121 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 36, while the sum is 17.

Adding to 1101013231121 its reverse (1211323101011), we get a palindrome (2312336332132).

The spelling of 1101013231121 in words is "one trillion, one hundred one billion, thirteen million, two hundred thirty-one thousand, one hundred twenty-one".