1301131200 has 168 divisors, whose sum is σ = 4297566208. Its totient is φ = 344632320.

The previous prime is 1301131199. The next prime is 1301131231. The reversal of 1301131200 is 21311031.

It is a super-2 number, since 2×1301131200² = 3385884799226880000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 781569 + ... + 783231.

Almost surely, 2^1301131200 is an apocalyptic number.

1301131200 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 1301131200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2148783104).

1301131200 is an abundant number, since it is smaller than the sum of its proper divisors (2996435008).

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

1301131200 is a wasteful number, since it uses less digits than its factorization.

1301131200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1851 (or 1836 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 12.

The square root of 1301131200 is about 36071.1962651643. The cubic root of 1301131200 is about 1091.7093511918.

Adding to 1301131200 its reverse (21311031), we get a palindrome (1322442231).

The spelling of 1301131200 in words is "one billion, three hundred one million, one hundred thirty-one thousand, two hundred".