1023101013 has 32 divisors (see below), whose sum is σ = 1520208000. Its totient is φ = 606848000.

The previous prime is 1023101011. The next prime is 1023101033. The reversal of 1023101013 is 3101013201.

It is not a de Polignac number, because 1023101013 - 2¹ = 1023101011 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 1023101013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1023101011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 294913 + ... + 298361.

It is an arithmetic number, because the mean of its divisors is an integer number (47506500).

Almost surely, 2^1023101013 is an apocalyptic number.

It is an amenable number.

1023101013 is a deficient number, since it is larger than the sum of its proper divisors (497106987).

1023101013 is a wasteful number, since it uses less digits than its factorization.

1023101013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3653.

The product of its (nonzero) digits is 18, while the sum is 12.

The square root of 1023101013 is about 31985.9502438180. The cubic root of 1023101013 is about 1007.6417919302.

Adding to 1023101013 its reverse (3101013201), we get a palindrome (4124114214).

The spelling of 1023101013 in words is "one billion, twenty-three million, one hundred one thousand, thirteen".