1023040101313 has 16 divisors (see below), whose sum is σ = 1130575528656. Its totient is φ = 921652725760.

The previous prime is 1023040101277. The next prime is 1023040101319. The reversal of 1023040101313 is 3131010403201.

It can be written as a sum of positive squares in 8 ways, for example, as 33506570304 + 989533531009 = 183048^2 + 994753^2 .

It is a cyclic number.

It is not a de Polignac number, because 1023040101313 - 2¹³ = 1023040093121 is a prime.

It is a super-2 number, since 2×1023040101313² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1023040101319) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13810006 + ... + 13883887.

It is an arithmetic number, because the mean of its divisors is an integer number (70660970541).

Almost surely, 2^{1023040101313} is an apocalyptic number.

It is an amenable number.

1023040101313 is a deficient number, since it is larger than the sum of its proper divisors (107535427343).

1023040101313 is a wasteful number, since it uses less digits than its factorization.

1023040101313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27694004.

The product of its (nonzero) digits is 216, while the sum is 19.

Adding to 1023040101313 its reverse (3131010403201), we get a palindrome (4154050504514).

The spelling of 1023040101313 in words is "one trillion, twenty-three billion, forty million, one hundred one thousand, three hundred thirteen".