131552073300 has 144 divisors (see below), whose sum is σ = 383952425472. Its totient is φ = 34774396800.

The previous prime is 131552073283. The next prime is 131552073343. The reversal of 131552073300 is 3370255131.

It is a super-3 number, since 3×131552073300³ (a number of 34 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

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, 63154059 + ... + 63156141.

It is an arithmetic number, because the mean of its divisors is an integer number (2666336288).

Almost surely, 2^131552073300 is an apocalyptic number.

131552073300 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 131552073300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191976212736).

131552073300 is an abundant number, since it is smaller than the sum of its proper divisors (252400352172).

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

131552073300 is a wasteful number, since it uses less digits than its factorization.

131552073300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3838 (or 3831 counting only the distinct ones).

The product of its (nonzero) digits is 9450, while the sum is 30.

The spelling of 131552073300 in words is "one hundred thirty-one billion, five hundred fifty-two million, seventy-three thousand, three hundred".