1381319500 has 48 divisors (see below), whose sum is σ = 3291069600. Its totient is φ = 502296000.

The previous prime is 1381319497. The next prime is 1381319509. The reversal of 1381319500 is 59131831.

It is a super-3 number, since 3×1381319500³ (a number of 28 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a hoax number, since the sum of its digits (31) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (1381319509) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 120075 + ... + 131074.

It is an arithmetic number, because the mean of its divisors is an integer number (68563950).

Almost surely, 2^1381319500 is an apocalyptic number.

1381319500 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1381319500 is an abundant number, since it is smaller than the sum of its proper divisors (1909750100).

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

1381319500 is a wasteful number, since it uses less digits than its factorization.

1381319500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 251179 (or 251167 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 31.

The square root of 1381319500 is about 37166.1068717185. The cubic root of 1381319500 is about 1113.6910108102.

The spelling of 1381319500 in words is "one billion, three hundred eighty-one million, three hundred nineteen thousand, five hundred".