1023101013133 has 2 divisors, whose sum is σ = 1023101013134. Its totient is φ = 1023101013132.

The previous prime is 1023101013001. The next prime is 1023101013139. The reversal of 1023101013133 is 3313101013201.

1023101013133 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1016390618244 + 6710394889 = 1008162^2 + 81917^2 .

It is a cyclic number.

It is not a de Polignac number, because 1023101013133 - 2¹⁷ = 1023100882061 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 1023101013133.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1023101013139) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 511550506566 + 511550506567.

It is an arithmetic number, because the mean of its divisors is an integer number (511550506567).

Almost surely, 2^{1023101013133} is an apocalyptic number.

It is an amenable number.

1023101013133 is a deficient number, since it is larger than the sum of its proper divisors (1).

1023101013133 is an equidigital number, since it uses as much as digits as its factorization.

1023101013133 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 162, while the sum is 19.

Adding to 1023101013133 its reverse (3313101013201), we get a palindrome (4336202026334).

The spelling of 1023101013133 in words is "one trillion, twenty-three billion, one hundred one million, thirteen thousand, one hundred thirty-three".