133298010000 has 225 divisors, whose sum is σ = 466545752101. Its totient is φ = 35516928000.

The previous prime is 133298009983. The next prime is 133298010023. The reversal of 133298010000 is 10892331.

The square root of 133298010000 is 365100.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 7 ways, for example, as 118967047056 + 14330962944 = 344916^2 + 119712^2 .

It is a tau number, because it is divible by the number of its divisors (225).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 109529392 + ... + 109530608.

Almost surely, 2^133298010000 is an apocalyptic number.

133298010000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

133298010000 is the 365100-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 133298010000

133298010000 is an abundant number, since it is smaller than the sum of its proper divisors (333247742101).

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

133298010000 is an frugal number, since it uses more digits than its factorization.

133298010000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2468 (or 1227 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

Multiplying 133298010000 by its product of nonzero digits (1296), we get a square (172754220960000 = 13143600²).

The spelling of 133298010000 in words is "one hundred thirty-three billion, two hundred ninety-eight million, ten thousand".