1331010101331 has 48 divisors (see below), whose sum is σ = 2046621994560. Its totient is φ = 830655959040.

The previous prime is 1331010101321. The next prime is 1331010101359.

1331010101331 is a `hidden beast` number, since 1 + 3 + 310 + 10 + 10 + 1 + 331 = 666.

1331010101331 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 1331010101331 - 2¹³ = 1331010093139 is a prime.

It is a super-2 number, since 2×1331010101331² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1331010101321) 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 47 ways as a sum of consecutive naturals, for example, 30545946 + ... + 30589488.

It is an arithmetic number, because the mean of its divisors is an integer number (42637958220).

Almost surely, 2^{1331010101331} is an apocalyptic number.

1331010101331 is a deficient number, since it is larger than the sum of its proper divisors (715611893229).

1331010101331 is a wasteful number, since it uses less digits than its factorization.

1331010101331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44636 (or 44633 counting only the distinct ones).

The product of its (nonzero) digits is 81, while the sum is 18.

It can be divided in two parts, 1331010 and 101331, that added together give a palindrome (1432341).

The spelling of 1331010101331 in words is "one trillion, three hundred thirty-one billion, ten million, one hundred one thousand, three hundred thirty-one".