131133311010 has 192 divisors, whose sum is σ = 373986063360. Its totient is φ = 31682327040.

The previous prime is 131133310981. The next prime is 131133311051. The reversal of 131133311010 is 10113331131.

131133311010 is a `hidden beast` number, since 1 + 311 + 3 + 331 + 10 + 10 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon number.

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, 39037711 + ... + 39041069.

It is an arithmetic number, because the mean of its divisors is an integer number (1947844080).

Almost surely, 2^131133311010 is an apocalyptic number.

131133311010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 131133311010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186993031680).

131133311010 is an abundant number, since it is smaller than the sum of its proper divisors (242852752350).

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

131133311010 is a wasteful number, since it uses less digits than its factorization.

131133311010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3993 (or 3990 counting only the distinct ones).

The product of its (nonzero) digits is 81, while the sum is 18.

Adding to 131133311010 its reverse (10113331131), we get a palindrome (141246642141).

The spelling of 131133311010 in words is "one hundred thirty-one billion, one hundred thirty-three million, three hundred eleven thousand, ten".