1023301313331 has 16 divisors (see below), whose sum is σ = 1488622579200. Its totient is φ = 620105820320.

The previous prime is 1023301313303. The next prime is 1023301313369. The reversal of 1023301313331 is 1333131033201.

It is a cyclic number.

It is not a de Polignac number, because 1023301313331 - 2¹⁰ = 1023301312307 is a prime.

It is a super-2 number, since 2×1023301313331² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1023301313371) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1648731 + ... + 2182868.

It is an arithmetic number, because the mean of its divisors is an integer number (93038911200).

Almost surely, 2^{1023301313331} is an apocalyptic number.

1023301313331 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1023301313331 is a deficient number, since it is larger than the sum of its proper divisors (465321265869).

1023301313331 is a wasteful number, since it uses less digits than its factorization.

1023301313331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3839706.

The product of its (nonzero) digits is 1458, while the sum is 24.

Adding to 1023301313331 its reverse (1333131033201), we get a palindrome (2356432346532).

The spelling of 1023301313331 in words is "one trillion, twenty-three billion, three hundred one million, three hundred thirteen thousand, three hundred thirty-one".