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13131031200 = 25352717231999
BaseRepresentation
bin11000011101010101…
…11010001010100000
31020220010100111110220
430032222322022200
5203343020444300
610010551323040
7643253631540
oct141652721240
936803314426
1013131031200
115629141101
122665680480
13131358b961
148c7d17320
1551cbd5da0
hex30eaba2a0

13131031200 has 576 divisors, whose sum is σ = 53996544000. Its totient is φ = 2700656640.

The previous prime is 13131031189. The next prime is 13131031211. The reversal of 13131031200 is 213013131.

It is an interprime number because it is at equal distance from previous prime (13131031189) and next prime (13131031211).

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

It is a self number, because there is not a number n which added to its sum of digits gives 13131031200.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6567801 + ... + 6569799.

It is an arithmetic number, because the mean of its divisors is an integer number (93744000).

Almost surely, 213131031200 is an apocalyptic number.

13131031200 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 13131031200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26998272000).

13131031200 is an abundant number, since it is smaller than the sum of its proper divisors (40865512800).

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

13131031200 is a wasteful number, since it uses less digits than its factorization.

13131031200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2069 (or 2056 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 15.

Adding to 13131031200 its reverse (213013131), we get a palindrome (13344044331).

The spelling of 13131031200 in words is "thirteen billion, one hundred thirty-one million, thirty-one thousand, two hundred".