314101131000 has 128 divisors (see below), whose sum is σ = 985075041600. Its totient is φ = 83326156800.

The previous prime is 314101130971. The next prime is 314101131031. The reversal of 314101131000 is 131101413.

It is a super-2 number, since 2×314101131000² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 307756 + ... + 850244.

Almost surely, 2^314101131000 is an apocalyptic number.

314101131000 is a gapful number since it is divisible by the number (30) 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 314101131000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (492537520800).

314101131000 is an abundant number, since it is smaller than the sum of its proper divisors (670973910600).

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

314101131000 is a wasteful number, since it uses less digits than its factorization.

314101131000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 542706 (or 542692 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 314101131000 its reverse (131101413), we get a palindrome (314232232413).

The spelling of 314101131000 in words is "three hundred fourteen billion, one hundred one million, one hundred thirty-one thousand".