1153132400101 has 48 divisors (see below), whose sum is σ = 1353783352320. Its totient is φ = 973763198720.

The previous prime is 1153132400093. The next prime is 1153132400113. The reversal of 1153132400101 is 1010042313511.

It is a happy number.

It is not a de Polignac number, because 1153132400101 - 2³ = 1153132400093 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1153132400171) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 392353890 + ... + 392356828.

It is an arithmetic number, because the mean of its divisors is an integer number (28203819840).

Almost surely, 2^{1153132400101} is an apocalyptic number.

1153132400101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1153132400101 is a deficient number, since it is larger than the sum of its proper divisors (200650952219).

1153132400101 is a wasteful number, since it uses less digits than its factorization.

1153132400101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4554 (or 4537 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 22.

Adding to 1153132400101 its reverse (1010042313511), we get a palindrome (2163174713612).

The spelling of 1153132400101 in words is "one trillion, one hundred fifty-three billion, one hundred thirty-two million, four hundred thousand, one hundred one".