1101013312093 has 2 divisors, whose sum is σ = 1101013312094. Its totient is φ = 1101013312092.

The previous prime is 1101013312067. The next prime is 1101013312109. The reversal of 1101013312093 is 3902133101011.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1047097865284 + 53915446809 = 1023278^2 + 232197^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-1101013312093 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1101013312493) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 550506656046 + 550506656047.

It is an arithmetic number, because the mean of its divisors is an integer number (550506656047).

Almost surely, 2^{1101013312093} is an apocalyptic number.

It is an amenable number.

1101013312093 is a deficient number, since it is larger than the sum of its proper divisors (1).

1101013312093 is an equidigital number, since it uses as much as digits as its factorization.

1101013312093 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 486, while the sum is 25.

The spelling of 1101013312093 in words is "one trillion, one hundred one billion, thirteen million, three hundred twelve thousand, ninety-three".