1311033313131 has 16 divisors (see below), whose sum is σ = 1866466035456. Its totient is φ = 816578886816.

The previous prime is 1311033313103. The next prime is 1311033313147. The reversal of 1311033313131 is 1313133301131.

It is not a de Polignac number, because 1311033313131 - 2⁷ = 1311033313003 is a prime.

It is a super-2 number, since 2×1311033313131² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1311033313151) 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, 220932880 + ... + 220938813.

It is an arithmetic number, because the mean of its divisors is an integer number (116654127216).

Almost surely, 2^{1311033313131} is an apocalyptic number.

1311033313131 is a deficient number, since it is larger than the sum of its proper divisors (555432722325).

1311033313131 is a wasteful number, since it uses less digits than its factorization.

1311033313131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 441871762.

The product of its (nonzero) digits is 729, while the sum is 24.

Adding to 1311033313131 its reverse (1313133301131), we get a palindrome (2624166614262).

The spelling of 1311033313131 in words is "one trillion, three hundred eleven billion, thirty-three million, three hundred thirteen thousand, one hundred thirty-one".