1313101000 has 64 divisors (see below), whose sum is σ = 3103317360. Its totient is φ = 520000000.

The previous prime is 1313100977. The next prime is 1313101021. The reversal of 1313101000 is 1013131.

It can be written as a sum of positive squares in 8 ways, for example, as 24147396 + 1288953604 = 4914^2 + 35902^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 94500 + ... + 107500.

Almost surely, 2^1313101000 is an apocalyptic number.

1313101000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1313101000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1551658680).

1313101000 is an abundant number, since it is smaller than the sum of its proper divisors (1790216360).

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

1313101000 is a wasteful number, since it uses less digits than its factorization.

1313101000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13123 (or 13109 counting only the distinct ones).

The product of its (nonzero) digits is 9, while the sum is 10.

The square root of 1313101000 is about 36236.7355041814. The cubic root of 1313101000 is about 1095.0468763597.

Adding to 1313101000 its reverse (1013131), we get a palindrome (1314114131).

The spelling of 1313101000 in words is "one billion, three hundred thirteen million, one hundred one thousand".