1311967000 has 32 divisors (see below), whose sum is σ = 3070005120. Its totient is φ = 524786400.

The previous prime is 1311966991. The next prime is 1311967009. The reversal of 1311967000 is 7691131.

It is an interprime number because it is at equal distance from previous prime (1311966991) and next prime (1311967009).

It is a self number, because there is not a number n which added to its sum of digits gives 1311967000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1311967009) 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 7 ways as a sum of consecutive naturals, for example, 654984 + ... + 656983.

It is an arithmetic number, because the mean of its divisors is an integer number (95937660).

Almost surely, 2^1311967000 is an apocalyptic number.

1311967000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1311967000 is an abundant number, since it is smaller than the sum of its proper divisors (1758038120).

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

1311967000 is a wasteful number, since it uses less digits than its factorization.

1311967000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1311988 (or 1311974 counting only the distinct ones).

The product of its (nonzero) digits is 1134, while the sum is 28.

The square root of 1311967000 is about 36221.0850196401. The cubic root of 1311967000 is about 1094.7315564162.

The spelling of 1311967000 in words is "one billion, three hundred eleven million, nine hundred sixty-seven thousand".