1314131000 has 192 divisors, whose sum is σ = 3854148480. Its totient is φ = 415699200.

The previous prime is 1314130973. The next prime is 1314131033. The reversal of 1314131000 is 1314131.

It is a super-2 number, since 2×1314131000² = 3453880570322000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 635969 + ... + 638031.

It is an arithmetic number, because the mean of its divisors is an integer number (20073690).

Almost surely, 2^1314131000 is an apocalyptic number.

1314131000 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 1314131000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1927074240).

1314131000 is an abundant number, since it is smaller than the sum of its proper divisors (2540017480).

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

1314131000 is a wasteful number, since it uses less digits than its factorization.

1314131000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2111 (or 2090 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 14.

The square root of 1314131000 is about 36250.9448152734. The cubic root of 1314131000 is about 1095.3331207796. Note that the first 3 decimals are identical.

Adding to 1314131000 its reverse (1314131), we get a palindrome (1315445131).

1314131000 divided by its reverse (1314131) gives a cube (1000 = 10³).

The spelling of 1314131000 in words is "one billion, three hundred fourteen million, one hundred thirty-one thousand".