1132101033000 has 512 divisors, whose sum is σ = 4143677091840. Its totient is φ = 251950003200.

The previous prime is 1132101032999. The next prime is 1132101033001. The reversal of 1132101033000 is 3301012311.

It is an interprime number because it is at equal distance from previous prime (1132101032999) and next prime (1132101033001).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is not an unprimeable number, because it can be changed into a prime (1132101033001) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 313339194 + ... + 313342806.

It is an arithmetic number, because the mean of its divisors is an integer number (8093119320).

Almost surely, 2^{1132101033000} is an apocalyptic number.

1132101033000 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 1132101033000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2071838545920).

1132101033000 is an abundant number, since it is smaller than the sum of its proper divisors (3011576058840).

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

1132101033000 is a wasteful number, since it uses less digits than its factorization.

1132101033000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4034 (or 4020 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 15.

Adding to 1132101033000 its reverse (3301012311), we get a palindrome (1135402045311).

The spelling of 1132101033000 in words is "one trillion, one hundred thirty-two billion, one hundred one million, thirty-three thousand".