1001313131 has 48 divisors (see below), whose sum is σ = 1308753600. Its totient is φ = 745065216.

The previous prime is 1001313097. The next prime is 1001313133. The reversal of 1001313131 is 1313131001.

It is a happy number.

It is not a de Polignac number, because 1001313131 - 2⁶ = 1001313067 is a prime.

It is a super-2 number, since 2×1001313131² = 2005255972626046322, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1001313133) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9186305 + ... + 9186413.

It is an arithmetic number, because the mean of its divisors is an integer number (27265700).

Almost surely, 2^1001313131 is an apocalyptic number.

1001313131 is a deficient number, since it is larger than the sum of its proper divisors (307440469).

1001313131 is a wasteful number, since it uses less digits than its factorization.

1001313131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 276 (or 217 counting only the distinct ones).

The product of its (nonzero) digits is 27, while the sum is 14.

The square root of 1001313131 is about 31643.5322143404. The cubic root of 1001313131 is about 1000.4375188826.

Adding to 1001313131 its reverse (1313131001), we get a palindrome (2314444132).

The spelling of 1001313131 in words is "one billion, one million, three hundred thirteen thousand, one hundred thirty-one".