131121000 has 192 divisors, whose sum is σ = 469806480. Its totient is φ = 32870400.

The previous prime is 131120989. The next prime is 131121031. The reversal of 131121000 is 121131.

It can be written as a sum of positive squares in 8 ways, for example, as 39765636 + 91355364 = 6306^2 + 9558^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 152572 + ... + 153428.

Almost surely, 2^131121000 is an apocalyptic number.

131121000 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 131121000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234903240).

131121000 is an abundant number, since it is smaller than the sum of its proper divisors (338685480).

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

131121000 is a wasteful number, since it uses less digits than its factorization.

131121000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 901 (or 884 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

The square root of 131121000 is about 11450.8078317645. The cubic root of 131121000 is about 508.0316284273.

Adding to 131121000 its reverse (121131), we get a palindrome (131242131).

The spelling of 131121000 in words is "one hundred thirty-one million, one hundred twenty-one thousand".