1313131000 has 64 divisors (see below), whose sum is σ = 3253517280. Its totient is φ = 494348800.

The previous prime is 1313130937. The next prime is 1313131003. The reversal of 1313131000 is 1313131.

It is a happy number.

It is a super-2 number, since 2×1313131000² = 3448626046322000000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1313131003) 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, 21622 + ... + 55621.

Almost surely, 2^1313131000 is an apocalyptic number.

1313131000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1313131000 is an abundant number, since it is smaller than the sum of its proper divisors (1940386280).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1313131000 is a wasteful number, since it uses less digits than its factorization.

1313131000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77281 (or 77267 counting only the distinct ones).

The product of its (nonzero) digits is 27, while the sum is 13.

The square root of 1313131000 is about 36237.1494463900. The cubic root of 1313131000 is about 1095.0552156918.

Adding to 1313131000 its reverse (1313131), we get a palindrome (1314444131).

1313131000 divided by its reverse (1313131) gives a cube (1000 = 10³).

The spelling of 1313131000 in words is "one billion, three hundred thirteen million, one hundred thirty-one thousand".