101131434 has 24 divisors (see below), whose sum is σ = 225041700. Its totient is φ = 32799168.

The previous prime is 101131427. The next prime is 101131441. The reversal of 101131434 is 434131101.

101131434 is a `hidden beast` number, since 101 + 131 + 434 = 666.

It is an interprime number because it is at equal distance from previous prime (101131427) and next prime (101131441).

It can be written as a sum of positive squares in 2 ways, for example, as 100942209 + 189225 = 10047^2 + 435^2 .

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 75259 + ... + 76590.

Almost surely, 2^101131434 is an apocalyptic number.

101131434 is an abundant number, since it is smaller than the sum of its proper divisors (123910266).

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

101131434 is a wasteful number, since it uses less digits than its factorization.

101131434 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151894 (or 151891 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 101131434 is about 10056.4125810350. The cubic root of 101131434 is about 465.9028729157.

Adding to 101131434 its reverse (434131101), we get a palindrome (535262535).

The spelling of 101131434 in words is "one hundred one million, one hundred thirty-one thousand, four hundred thirty-four".